Answer:
A=10.79m²≅10.8m²
Step-by-step explanation: In this case, you know 2 sides and the angle between them.That means you need to have the idea to use the formula : A=a·b·sin(∡a,b)/2 = semi-product of 2 sides and the sinus of angle between them.
A=4,1·7,2·sin(47°)/2 (now if you want to see sin(47 degrees) you need to consult the approximate values of sin and cos from a table/internet/textbook/SCI calculator) so A=10.8m²
we don't know how to calculate sin(47°) from trigonometrical calculus and formulas but i recommend you to consult trigonometry formulas and try to prove them to better understand.